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Table 2 Plastic properties of Al (\(\theta _0 = 300\)K)

From: Shock compression modeling of metallic single crystals: comparison of finite difference, steady wave, and analytical solutions

Property

Definition

Value

Units

b

Burgers vector

0.286

nm

\(N^k_0\)

Initial dislocation density

0.56

\(1/\upmu\mathrm{m}^2 \)

\(f_0\)

Initial mobile disloc. fraction

0.3

\(\dot{N}_0\)

Homogeneous gen. factor

\(7.2 \times 10^7\)

\(1/(\upmu\mathrm{m}^2\) \(\upmu \)s)

\(g_{0hom}\)

Homogeneous gen. parameter

0.04125

\(\tau _{0hom}/\mu _0\)

Homogeneous gen. stress

0.05

\(\chi \)

Mobile hom. disloc. fraction

0.08

\(\bar{x}/b\)

Generation displacement

13.3

\(\alpha _{het}\)

Heterogeneous gen. factor

320

\(1/\upmu\mathrm{m}^2 \)

m

Heterogeneous gen. exponent

0.8

\(\tau _{min} / \mu _0\)

Heterogeneous gen. bound

0.004

\(\tau _{max} / \mu _0\)

Heterogeneous gen. bound

0.04

\(p_{mul}\)

Multiplication probability

0.088

\(\alpha _{ann}\)

Annihilation factor

0.25

\(\alpha _{tra}\)

Trapping factor

0.051

\(\alpha _{pas}\)

Passing strength factor

0.1

\(\alpha _{cut}\)

Cutting strength factor

0.9

\(\nu _G \)

Obstacle attempt frequency

\(1 \times 10^5\)

1/\(\upmu \)s

\(B_0\)

Drag coefficient

18.0

Pa \(\upmu \)s

\(p, \, q\)

Strength exponents

0.5, 2